Hamam, Habib2020-02-132020-02-1320102010Hamam, H. (2010). Intensity based self-imaging. Applied Optics, 49(13), 2519–2528. https://doi.org/10.1364/AO.49.0025191559128Xhttp://dx.doi.org/10.1364/AO.49.002519http://hdl.handle.net/20.500.12519/133This article is not available at CUD collection. The version of scholarly record of this Article is published in Applied Optics (2010), available online at: https://doi.org/10.1364/AO.49.002519.We propose an iterative method to optimize the phase profile of the initial field so that its intensity profile is observed periodically along the longitudinal (propagation) axis. The new method is inspired from the Gerchberg-Saxton technique, where the Fresnel transform is used, instead of the Fourier transform, for retrieving the phase profile of several light distributions (for example, 15 planes), instead of a Fourier pair of distributions. The additional challenge, with respect to the conventional Gerchberg-Saxton technique, is that the planes where constraints are applied number more than two. It turned out that when the number of periods increased, the spectrum of the obtained initial field converges toward including Montgomery's rings (self-imaging condition). © 2010 Optical Society of America.enPermission to reuse the abstract has been secured from OSA - The Optical Society.Molecular physicsOpticsFourierFresnel transformGerchberg-SaxtonIntensity profilesLight distributionMontgomeryPhase profileSelf imagingIterative methodsArticleCopyright : 2010 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.